Speaker: Ginaldo Sá

Centro de Modelamiento Matemático
Date: Tuesday, November 25, 2025 at 2:00 p.m. Santiago time

Abstract:

Abstract: Elliptic and parabolic partial differential equations modeling diffusive processes arise naturally across several areas of science. Understanding their regularity theories is essential for describing the qualitative behavior of solutions and for developing robust analytical tools. When the underlying models involve discontinuities, regime changes, or a priori unknown regions, one encounters free boundary problems, which introduce additional challenges and have driven significant advances in the modern theory of PDEs.
In this talk, we will discuss the analytical foundations underlying regularity in diffusive equations, present the current landscape of free boundary theory, and highlight recent developments that have deepened our understanding of these phenomena.

Venue: John Von Neumann Seminar Room, CMM, Beauchef 851, North Tower, 7th Floor